Salaah

Performing salaah on the plane when passing different time zones

Q: My question is related to Salaah and flying by air.

Sometime ago we flew from Australia to Canada. We set out at around 7.00 am on Tuesday, and we reached at around 7.15 am Tuesday, on the same date. The flight was 17 hours, and in this time we didn't read any Salaah. In fact, the next Salaah we read was Dhuhr almost 24 hours later. Is this correct?

However, when we were returning to Australia, we lost a day, so basically a whole day's worth of Salaah became qadha. We jumped a whole day, or we lost a whole day, when we were crossing the international date line. How does this work? How do we calculate Salaah in these situations? Were we supposed to read any Salaah on the way to Canada keeping in mind the Hadith about after Dajjaal comes one day will be equal to a year, and so forth. Hence Salaah would have been calculated according to its normal time, as Nabi Sallallahu Alayhi Wa Salam had advised his Sahaabah? 

Mistakenly standing up for the third rakaat in a two rakaat salaah

Q: If while praying two rakaats salaah, after sujood of the two rakaats, one forgets he has completed one or two rakaats and therefore stands up with the intention of praying one more rakaat and doing sajda sahaw but on standing he remembers accuratley that he in fact has completed two rakaats.

1. In this situation, while he has stood up with or has already started reciting Surah Fatiha, is it permissible to go to tashahhud or one should complete four rakaats?

2. Would sajdah sahaw be needed after completing four rakkats?

3. Or salah will not be valid and one must repeat it, if for example he was praying two rakaat sunnat muakkadah of Fajr or two rakaats Fardh of Fajr because he has prayed four rakkats instead of two?

Reciting Surah Faatihah instead of atthiyyaat in salaah

Q: I was reciting Surah Faatihah in place of Attahiyyaat. I realized at the time when I was going to lift my index finger. I stopped Surah Faatihah then recited Attahiyyaat and ending with sajdah sahw or I completed Surah Faatihah and ending with Salaam only. Will my salaah be valid? If not, kindly inform me as how do I correct such an error in salaah?